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                [SDOI2015]排序                </h1>
                <p>时间限制：20s&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;  空间限制：128MB</p>			</div>
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                                <h3>题目描述</h3><p><p>&nbsp;<span style="font-family: Helvetica, 'Microsoft Yahei', verdana; font-size: 14px; line-height: 15.333333015441895px;">小A有一个1-2^N的排列A[1..2^N],他希望将A数组从小到大排序,小A可以执行的操作有N种,每种操作最多可以执行一次,对于所有的i(1&lt;=i&lt;=N),第i中操作为将序列从左到右划分为2^{N-i+1}段,每段恰好包括2^{i-1}个数,然后整体交换其中两段.小A想知道可以将数组A从小到大排序的不同的操作序列有多少个,小A认为两个操作序列不同,当且仅当操作个数不同,或者至少一个操作不同(种类不同或者操作位置不同).</span></p>
<div style="font-family: Helvetica, 'Microsoft Yahei', verdana; font-size: 14px; line-height: 15.333333015441895px;">&nbsp; 下面是一个操作事例:</div>
<div style="font-family: Helvetica, 'Microsoft Yahei', verdana; font-size: 14px; line-height: 15.333333015441895px;">&nbsp; N=3,A[1..8]=[3,6,1,2,7,8,5,4].</div>
<div style="font-family: Helvetica, 'Microsoft Yahei', verdana; font-size: 14px; line-height: 15.333333015441895px;">&nbsp; 第一次操作,执行第3种操作,交换A[1..4]和A[5..8],交换后的A[1..8]为[7,8,5,4,3,6,1,2].</div>
<div style="font-family: Helvetica, 'Microsoft Yahei', verdana; font-size: 14px; line-height: 15.333333015441895px;">&nbsp; 第二次操作,执行第1种操作,交换A[3]和A[5],交换后的A[1..8]为[7,8,3,4,5,6,1,2].</div>
<div style="font-family: Helvetica, 'Microsoft Yahei', verdana; font-size: 14px; line-height: 15.333333015441895px;">&nbsp; 第三次操作,执行第2中操作,交换A[1..2]和A[7..8],交换后的A[1..8]为[1,2,3,4,5,6,7,8].</div>
<div style="font-family: Helvetica, 'Microsoft Yahei', verdana; font-size: 14px; line-height: 15.333333015441895px;"></div></p><hr/><h3>输入格式</h3><p><p><span style="font-family: Helvetica, 'Microsoft Yahei', verdana; font-size: 14px; line-height: 15.333333015441895px;">第一行,一个整数N</span></p>
<div>
<div style="font-family: Helvetica, 'Microsoft Yahei', verdana; font-size: 14px; line-height: 15.333333015441895px;">第二行,2^N个整数,A[1..2^N]</div>
<div style="font-family: Helvetica, 'Microsoft Yahei', verdana; font-size: 14px; line-height: 15.333333015441895px;"></div>
</div></p><hr/><h3>输出格式</h3><p><p><span style="font-family: Helvetica, 'Microsoft Yahei', verdana; font-size: 14px; line-height: 15.333333015441895px;">一个整数表示答案<br />
</span></p>
<div style="font-family: Helvetica, 'Microsoft Yahei', verdana; font-size: 14px; line-height: 15.333333015441895px;"></div></p><hr/><h3>样例输入</h3><pre>  3
  7 8 5 6 1 2 4 3</pre><hr/><h3>样例输出</h3><pre>6
</pre><hr/><h3>提示</h3><p><p>100%的数据, 1&lt;=N&lt;=12.</p></p><hr/><h3>题目来源</h3><p>Round 1 感谢ZKY制作非官方数据</p>
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